Abstract:
The question of studying the property of antinormality of subgroups is important, since this property is used in the study of various properties of groups (for example, hyperbolicity of groups) and various algorithmic problems in groups.
The proposed article gives a complete description of all antinormal two-generated subgroups with a certain condition imposed on the generators of this subgroup contained in a free group of rank greater than one.
Keywords:free groups, antinormality of subgroups, algorithmic problems.
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